105916 has 6 divisors (see below), whose sum is σ = 185360. Its totient is φ = 52956.

The previous prime is 105913. The next prime is 105929. The reversal of 105916 is 619501.

It is a super-2 number, since 2×105916² = 22436398112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13236 + ... + 13243.

2¹⁰⁵⁹¹⁶ is an apocalyptic number.

It is an amenable number.

105916 is a deficient number, since it is larger than the sum of its proper divisors (79444).

105916 is a wasteful number, since it uses less digits than its factorization.

105916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26483 (or 26481 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 105916 is about 325.4473843803. The cubic root of 105916 is about 47.3137303384.

It can be divided in two parts, 10591 and 6, that multiplied together give a triangular number (63546 = T₃₅₆).

The spelling of 105916 in words is "one hundred five thousand, nine hundred sixteen".